Prime p₀= 2893382024747705969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 10 2 28 2 94 2 10 2 (?)
a_n: 0 2 18 20 90 92 102 104 132 134 228 230 240 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: Landjunge
db: batch=82, k=14, 16 70 10 28 94 10

SPT(16)	2893379723152077167	0 42 50 72 120 140 152 176 186 210 222 242 290 312 320 362	-2301595628802
STPT(10)	2893380685140661127	0 2 24 26 42 44 60 62 84 86	-1339607044842
STPT(10)	2893380808082723459	0 2 42 44 90 92 138 140 180 182	-1216664982510
STPT(10)	2893380888577049081	0 2 30 32 78 80 126 128 156 158	-1136170656888
SPT(16)	2893381180822044091	0 12 22 70 90 100 132 138 142 148 180 190 210 258 268 280	-843925661878
SPT(16)	2893381708741753373	0 20 44 78 104 110 140 156 158 174 204 210 236 270 294 314	-316005952596
STPT(10)	2893382200749382229	0 2 18 20 30 32 42 44 60 62	176001676260
STPT(10)	2893382406116969099	0 2 48 50 90 92 132 134 180 182	381369263130
SPT(16)	2893382571751809029	0 8 90 98 110 114 168 194 198 224 278 282 294 302 384 392	547004103060
SPT(16)	2893382846336957731	0 22 142 162 180 220 226 292 306 372 378 418 436 456 576 598	821589251762
STPT(10)	2893382910420878039	0 2 48 50 90 92 132 134 180 182	885673172070